1010493792 has 480 divisors, whose sum is σ = 3811256064. Its totient is φ = 255052800.

The previous prime is 1010493773. The next prime is 1010493793. The reversal of 1010493792 is 2973940101.

1010493792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010493793) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12174583 + ... + 12174665.

Almost surely, 2^1010493792 is an apocalyptic number.

1010493792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010493792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905628032).

1010493792 is an abundant number, since it is smaller than the sum of its proper divisors (2800762272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1010493792 is a wasteful number, since it uses less digits than its factorization.

1010493792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 1010493792 is about 31788.2650045579. The cubic root of 1010493792 is about 1003.4857659842.

The spelling of 1010493792 in words is "one billion, ten million, four hundred ninety-three thousand, seven hundred ninety-two".